Justification of lubrication approximation: an application to fluid/solid interactions
Analysis of PDEs
2015-06-16 v1
Abstract
We consider the stationary Stokes problem in a three-dimensional fluid domain with non-homogeneous Dirichlet boundary conditions. We assume that this fluid domain is the complement of a bounded obstacle in a bounded or an exterior smooth container . We compute sharp asymptotics of the solution to the Stokes problem when the distance between the obstacle and the container boundary is small.
Cite
@article{arxiv.1506.04690,
title = {Justification of lubrication approximation: an application to fluid/solid interactions},
author = {M Hillairet and Takfarinas Kelai},
journal= {arXiv preprint arXiv:1506.04690},
year = {2015}
}